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Finding the Third Proportional to 47,820,786 and 99,044,247

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Solution

The third proportional to 47,820,786 and 99,044,247 is: 205,135,960.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,820,786 : 99,044,247 = 99,044,247 : x
  2. Step 2: Convert to fraction form
    47,820,786/99,044,247 = 99,044,247/x
  3. Step 3: Cross multiply
    47,820,786x = 99,044,247 × 99,044,247
  4. Step 4: Simplify right side
    47,820,786x = 9,809,762,863,797,008
  5. Step 5: Solve for x
    x = 9,809,762,863,797,008/47,820,786
  6. Step 6: Final answer
    x = 205,135,960.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.